SUBCLASSES OF HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH GENERALIZED RUSCHEWEYH OPERATOR

Dziok J., Yalcin S., ALTINKAYA Ş.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, vol.106, no.120, pp.19-28, 2019 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 106 Issue: 120
  • Publication Date: 2019
  • Doi Number: 10.2298/pim1920019
  • Journal Name: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.19-28
  • Keywords: Harmonic functions, univalent functions, subordination, Hadamard product, multiplier transformation, Ruscheweyh operator, FUNCTIONS STARLIKE
  • Bursa Uludag University Affiliated: Yes

Abstract

We introduce a new subclass of functions defined by multiplier differential operator and give coefficient bounds for these subclasses. Also, we obtain necessary and sufficient convolution conditions, distortion bounds and extreme points for these subclasses of functions.